In this paper we consider cooperative graph games being TU-games in which players cooperate if they are connected in the communication graph. We focus our attention to the average tree solutions introduced by Herings, van der Laan and Talman [6] and Herings, van der Laan, Talman and Yang [7]....

We introduce a new allocation rule, called the sequential equal surplus division for rooted forest TU-games. We provide two axiomatic characterizations for this allocation rule. The first one uses the classical property of component efficiency plus an edge deletion property. The second...

We consider the problem of sharing water from a river among the group of countries located along it. The benefit of each country depends on the amount of water it consumes. An allocation of the water is efficient when it maximizes the total benefits of the countries. The problem of finding a...

We investigate assignment of heterogeneous agents in trees where the allocation rule is given by the permission value. We focus on efficient hierarchies,namely those, for which the payoff of the top agent is maximized. For additive games, such hierarchies are always cogent, namely, more...

We survey axiomatic results concerning the Shapley value [Shapley, 1953]. This marginalist allocation rule results from an axiomatic study of the class of coalitional games. Several authors have enriched Shapley?s axiomatic study and have provided new characterizations of this allocation rule....

In this article, we generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic com- munication situations (G ́ Gomez et al. (2008)). We provide two characterizations of this new allocation rule....

In this article, we generalize the position value, defined by Meessen (1988) for the class of deterministic communication situations, to the class of generalized probabilistic communication situations (G´omez et al. (2008)). We provide two characterizations of this new allocation rule....